Journal of Nonlinear Mathematical Physics

Volume 2, Issue 3-4, September 1995, Pages 319 - 328

Group Analysis of Nonlinear Heat-Conduction Problem for a Semi-Infinite Body

Authors
N.A. BADRAN, M.B. ABD­EL­MALEK
Corresponding Author
N.A. BADRAN
Available Online 1 September 1995.
DOI
https://doi.org/10.2991/jnmp.1995.2.3-4.12How to use a DOI?
Abstract
The transformation group theoretic approach is applied to present an analysis of the nonlinear unsteady heat conduction problem in a semi­infinite body. The application of one­parameter group reduces the number of independent variables by one, and consequently the governing partial differential equation with the boundary and initial conditions to an ordinary differential equation with the appropriate corresponding boundary conditions. The ordinary differential equation is solved analytically for some special forms of the thermal parameters. The general analysis developed in this study corresponds to thermal parameters that has different forms with coordinates and time.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
2 - 3
Pages
319 - 328
Publication Date
1995/09
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1995.2.3-4.12How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - N.A. BADRAN
AU  - M.B. ABD­EL­MALEK
PY  - 1995
DA  - 1995/09
TI  - Group Analysis of Nonlinear Heat-Conduction Problem for a Semi-Infinite Body
JO  - Journal of Nonlinear Mathematical Physics
SP  - 319
EP  - 328
VL  - 2
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1995.2.3-4.12
DO  - https://doi.org/10.2991/jnmp.1995.2.3-4.12
ID  - BADRAN1995
ER  -